Chirp Communications

1. A method for receiving a chirp signal at a receiver device according to a protocol in which the chirp signal has a gradient known to the receiver device, the method comprising: receiving the chirp signal having a first gradient g; generating a reference chirp signal having a second gradient g′, wherein the second gradient g′ differs from the first gradient g by a fixed value v; multiplying the reference chirp signal and the received chirp signal so as to form a mixed chirp signal; and detecting the received chirp signal by cyclically correlating the mixed chirp signal with a fixed gradient correlating chirp signal.

2. A method as claimed in claim 1 , wherein the detecting step further comprises identifying at least one correlation peak position.

3. A method as claimed in claim 1 , wherein g′=g−1 and the fixed gradient correlating chirp signal has a gradient of 1.

4. A method as claimed in claim 1 , wherein the chirp signal is represented by a symbol having a sequence of N samples and N is an integer greater than one.

5. A method as claimed in claim 4 , wherein N is a prime number.

6. A method as claimed in claim 1 , wherein g′ is an even number and v is an even number.

7. A method as claimed in claim 1 , wherein the reference chirp signal is real and not complex.

8. A method as claimed in claim 1 , wherein the mixed chirp signal is real and not complex.

9. A method as claimed in claim 4 , wherein the chirp signal comprises one or more chirps, wherein the detecting step further comprises correlating a fixed gradient correlating chirp of the fixed gradient correlating chirp signal with each of N cyclic phases of a mixed chirp of the mixed chirp signal, each consecutive cyclic phase of the mixed chirp is cyclically shifted by one sample of the sequence of N samples.

10. A receiver device for receiving a chirp signal according to a protocol in which the chirp signal has a gradient known to the receiver device, the receiver device comprising: a receiver configured to receive the chirp signal having a first gradient g; a chirp generator configured to generate a reference chirp signal having a second gradient g′, wherein the second gradient g′ differs from the first gradient g by a fixed value v; a chirp multiplier configured to multiply the reference chirp signal and the received chirp signal so as to form a mixed chirp signal; and a cyclical correlator configured to detect the received chirp signal by cyclically correlating the mixed chirp signal with a fixed gradient correlating chirp signal.

11. A receiver device as claimed in claim 10 , further comprising a correlation peak detector configured to identify at least one correlation peak position.

12. A receiver device as claimed in claim 10 , wherein g′=g−1 and the fixed gradient correlating chirp signal has a gradient of 1.

13. A receiver device as claimed in claim 10 , wherein the chirp signal is represented by a symbol having a repeating sequence of N samples and N is an integer greater than one.

14. A receiver device as claimed in claim 13 , wherein N is a prime number.

15. A receiver device as claimed in claim 10 , wherein g′ is an even number and v is an even number.

16. A receiver device as claimed in claim 10 , wherein the reference chirp signal is real and not complex.

17. A receiver device as claimed in claim 10 , wherein the mixed chirp signal is real and not complex.

18. A transceiver device including the receiver device of claim 10 and a transmitter device, wherein the chirp generator is further configured to generate a second chirp signal to be transmitted by the transmitter device.